[seminarioDeProbabilidad] Seminario de Probabilidad y Procesos Estocásticos - 12 de Febrero de 2020
Maria Clara Fittipaldi
clarisssss en gmail.com
Vie Feb 7 11:07:05 CST 2020
Miércoles 12 de Febrero a las 13h15,
Salón 201 IIMAS
Denis Boyer <http://www.fisica.unam.mx/personales/boyer/>
Departamento de Sistemas Complejos
Instituto de Física UNAM
Nos hablará sobre "Caminatas aleatorias en redes con reinicio estocástico".
Abstract:
Resetting a stochastic process from time to time to its initial state can
represent an efficient way of finding hidden targets. This property has
been applied in statistical physics and computer science, and also allows
to understand biological processes such as enzymatic reactions or search
strategies adopted by foraging animals. Random walks on general networks
and subject to resetting have been very little studied, despite their
relevance to epidemic spreading, searching on the web or human mobility. We
develop here an extension to an arbitrary network topology of the diffusion
problem with stochastic resetting. Our formalism applies to finite
undirected networks and is implemented from the spectral properties of the
random walk without resetting. We show that resetting can allow a faster
exploration of many network architectures such as rings, Cayley trees,
random networks and complex networks, highlighting the importance of the
choice of the starting/resetting node. The small-world effect and the
presence of communities, two properties of many real world networks,
strongly affects exploration strategies based on resetting.
Organizan
Manuel Domínguez de la Iglesia
María Clara Fittipaldi
Sandra Palau
Arno Siri-Jégousse
Página web:
http://www.matem.unam.mx/~seminarioproba/
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y seguir el procedimiento.
Saludos,
María Clara Fittipaldi
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